P6.2: Rational Exponents Conversion

Last updated almost 4 years ago
12 questions
Note from the author:
Watch this video (and check out the practice problems) for more review with rational exponents.
Watch this video (and check out the practice problems) for more review with rational exponents.
1

Which property of exponents helps us define rational exponents?

1

Rewrite the expression in exponential form. Distribute the power where possible.

\sqrt{3ab}

Your answer should have no spaces, and should have rational exponent(s).

1

Rewrite the expression in exponential form.

\sqrt[4]{18x^{6}y^{2}}

Your answer should be a term raised to a rational exponent.

1

Simplify. Give your answers in integer form, no spaces.

9^{\frac{1}{2}}\cdot9^{\frac{5}{2}}

1

Simplify. Give your answers in simplest radical form, no spaces.

\frac{x^{\frac{7}{3}}}{x^{\frac{2}{3}}}

1

Simplify. Give your answers in simplest radical form, no spaces.

(28^{\frac{3}{5}})^{\frac{5}{6}}

1

Simplify. Give your answers in simplest radical form, no spaces.

45^{-\frac{3}{2}}\cdot45^{2}

1

Simplify. Give your answers in simplest radical form, no spaces.

\sqrt[4]{p}\cdot\sqrt{p^{3}}

1

Simplify. Give your answers in simplest radical form, no spaces.

\frac{16}{\sqrt[4]{16^{3}}}

1

Simplify. Give your answers in simplest radical form, no spaces.

\sqrt[4]{16w^{6}}

1

REVIEW
Write the expression in simplest radical form.

\sqrt[3]{80a^{4}b^{6}}

1

REVIEW
Write the expression in simplest radical form.

\sqrt[4]{48x^{3}y^{8}z^{13}}